What does the direction of torque signify

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Discussion Overview

The discussion centers on the significance of the direction of torque, particularly in relation to its application in rotational mechanics. Participants explore the conceptual understanding of torque as a vector and its implications for rotation direction.

Discussion Character

  • Conceptual clarification
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the meaning of the torque direction when a force is applied to a wrench, seeking clarification on its implications for rotation.
  • Another participant suggests that the body supplying torque rotates in the opposite direction to the body subjected to the torque, indicating a relationship between the two rotations.
  • A different viewpoint emphasizes that torque is defined as a vector perpendicular to the plane of rotation, following the right-hand rule for its direction.
  • It is noted that the torque vector's direction indicates whether the resulting rotation is clockwise or counterclockwise, with no additional significance beyond this.
  • One participant proposes a definition of torque as the cross product of an angular force and its radius, highlighting its perpendicular orientation to both components.

Areas of Agreement / Disagreement

Participants express differing views on the significance of the torque direction, with some focusing on its role in indicating rotation direction and others discussing its vector nature and mathematical definition. The discussion remains unresolved regarding the broader implications of torque direction.

Contextual Notes

There are varying interpretations of torque's significance, and the discussion does not resolve the relationship between torque direction and its physical implications in different contexts.

vivinisaac
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what does the direction of torque signify (if a force is apllied to a wrench in the x-axis and the wrench lies on y-axis the nut also rotates in the xy pane but the direction of torque is in the z axis what does this direction show)
 
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I'm sorry, but I don't quite understand the question.
The body that is supplying the torque rotates (or tries to) in the opposite direction. The body that is subjected to the torque rotates (or tries to) in the same direction.
Could you clarify your question a bit?
 
Rather than define torque as the plane it operates within, it's defined as a vector perpendicular to that plane. The standard is right hand rule; point your right hand thumb in the direction of the vector, and the direction your fingers move from open to closed fist is the direction of the torque force. Right hand rule also applies to angular velocity and angular acceleration. However, with the vector approach, there's no equivalent to angular "position". For this, you need to use the plane and an angular offset from some defined angular origin, normally the x axis, and the angle is counterclockwise displacement, as used in polar coordinates.
 
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The direction of the torque vector is always perpendicular to the plane of rotation. Therefore it has basically only two directions, up or down. This direction tells you whether the rotation caused by the force is clockwise or counterclockwise. There is nothing more to the direction of the torque vector.
 
A possible definition:

Torque is the (cross) product between an angular force and its radius (torque arm), and oriented perpendicular to both.
 

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